Answered: A stone is dropped from the top of a…

A stone is dropped from the top of a tower and falls to the ground below. If the stone hits the ground with a speed of 14 ms-¹, find the height of the tower. a) 7m b) 8m c) 9m d) 10m

Physics for Scientists and Engineers, Technology Update (No access codes included)

9th Edition

ISBN:9781305116399

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter2: Motion In One Dimension

Section: Chapter Questions

Problem 2.12OQ: A pebble is dropped from rest from the lop of a tall cliff and falls 4.9 m after 1.0 s has elapsed....

See similar textbooks

Related questions

Q: In which one of the following systems is there an increase in gravitational potential energy? A) A…

A: We know that when a particle moves upward ( against gravity) then it's potential energy increases.…

Q: A water pump lifts 400kg of water through a height of water through a height of 3.2mm seconds what…

A: Given that: P=?m=400 kgh=3.2 mm=3.2×10-3t=1 sec

Q: 1- A hijacker drops an 80 kg chest of gold from an airplane. Neglecting air resistance, how far does…

A: (1) Assume a mass(m) chest of gold in a kilogram is dropped by a hijacker from an airplane.…

Q: Q31. If a ball falls from a height h then the sum of its kinetic and potential energy after it falls…

A: Let the mass = m Let the height from which mass is dropped = h

Q: An object at rest may have __________. hint:g=10m/s/s. a. speed b. velocity c. acceleration…

A: An object at rest does not have speed or acceleration.

Q: SI unit of power is the Watt (W).

A: This question is based on Unit dimensions .

Q: The speed of a certain mass increases from 250 to 4000 ft/sec, find the change in kinetic energy in…

A: Given,

Q: An object is thrown vertically upward from the ground level. It reached a maximum height H. If air…

Q: A book is dropped from a height of 3 meters above the ground. What is the speed of the book when it…

A: Initial height (h) = 3 m Initial velocity (u) = 0 msFinal velocity = v

Q: A digital animator produces a model of a person jumping on a trampoline. Which measure is a boundary…

A: Its a concept of minimum potential energy

Q: Identify each situation as: WORK IS DONE or WORK IS NOT DONE a.A teacher applies force to…

A: Whether the work is done on the object or not depends on the force applied and displacement of the…

Q: 2. A 1 kg ball is released from a height of 6 m. A 2 kg ball is released from a height of 3m. If…

A: Mass of first ball (m) = 1 kg Initial height of first ball (h) = 6 m Mass of second ball (M) = 2 kg…

Q: An object travels at a speed of 4.0 m/s. It has 24 J of kinetic energy. What is the kinetic energy…

A: Kinetic energy is stated as energy passed by moving body. Its value is equal to half the value of…

Q: Which of these options have a larger kinetic energy? 1) more mass, same speed 2) less mass, same…

A: The expression for the kinetic energy is,

Q: Q6) Let A = 2i + 3j + k and B = i – 3j – 2k. What is Ax A) - 3i + 3j – 6k B) - 3i + 5j – 9k 4:1 2:

Q: When the speed of an object is quadrupled, its kinetic energy is A. doubled B. increased by…

A: The speed of the object becomes quadrupled.

Q: n object is acted by a frictional force. the work done by this frictional force is a. negative…

A: When the direction of the force is the same as the direction of motion the work done by the force is…

Concept explainers

Newton’s Third Law of Motion

The horse pulls the cart and the cart pulls the horse in response as per Newton third law. So the big question is, “Don’t the two forces cancel each other? How does the cart accelerate?”

Question

3. A stone is dropped from the top of a tower
and falls to the ground below.
If the stone hits the ground with a speed of
14 ms ¹, find the height of the tower.
a) 7m
b) 8m
c) 9m
d) 10m

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

A student is asked to measure the acceleration of a glider on a frictionless, inclined plane, using an air track, a stopwatch, and a meterstick. The top of the track is measured to be 1.774 cm higher than the bottom of the track, and the length of the track is d = 127.1 cm. The cart is released from rest at the top of the incline, taken as x = 0, and its position along the incline is measured as a function of time. For x values of 10.0 cm, 20.0 cm, 35.0 cm, 50.0 cm, 75.0 cm, and 100 cm, the measured times at which these positions are reached (averaged over five runs) are 1.02 s, 1.53 s, 2.01 s, 2.64 s, 3.30 s, and 3.75 s, respectively, (a) Construct a graph of x versus t2, with a best-fit straight line to describe the data, (b) Determine the acceleration of the cart from the slope of this graph, (c) Explain how your answer to part (b) compares with the theoretical value you calculate using a = g sin as derived in Example 5.6.
Towns A and B in Figure P4.64 are 80.0 km apart. A couple arranges to drive from town A and meet a couple driving from town B at the lake, L. The two couples leave simultaneously and drive for 2.50 h in the directions shown. Car 1 has a speed of 90.0 km/h. If the cars arrive simultaneously at the lake, what is the speed of car 2?
Does the kinetic energy of an object depend on the frame of reference in which its motion is measured? Provide an example to prove this point.
. In January 2003, an 18-year-old student gained a bit of fame for surviving—with only minor injuries—a remarkable traffic accident. The vehicle he was driving was "clipped" by another one, left the road, and rolled several times. He was thrown upward from the vehicle (he wasn't wearing a seat belt) and ended up dangling from an overhead telephone cable and a ground wire about 8 meters above the ground. Rescuers got him down after 20 minutes. It is estimated that he reached a maximum height of about 10 meters. (a) Estimate the driver's vertical speed when he was thrown from the vehicle. (b) If he had not landed in the wires, how fast would he have been going when he hit the ground?
A paper in the journal Current Biology tells of some jellyfish-like animals that attack their prey by launching stinging cells in one of the animal kingdoms fastest movements. High-speed photography showed the cells were accelerated from rest for 700. ns at 5.30 107 m/s2. Calculate (a) the maximum speed reached by the cells and (b) the distance traveled during the acceleration.
A frictionless plane is 10.0 m long and inclined at 35.0. A sled starts at the bottom with an initial speed of 5.00 m/s up the incline. When the sled reaches the point at which it momentarily stops, a second sled is released from the top of the incline with an initial speed vi. Both sleds reach the bottom of the incline at the same moment. (a) Determine the distance that the first sled traveled up the incline. (b) Determine the initial speed of the second sled.
A pebble is dropped from rest from the lop of a tall cliff and falls 4.9 m after 1.0 s has elapsed. How much farther does it drop in the next 2.0 s? (a) 9.8 111 (b) 19.6 in (c) 39 in (d) 44 m (e) none of (he above
The small archerfish (length 20 to 25 cm) lives in brackish waters of Southeast Asia from India to the Philippines. This aptly named creature captures its prey by shooting a stream of water drops at an insect, either flying or at rest. The bug falls into the water and the fish gobbles it up. The archerfish has high accuracy at distances of 1.2 m to 1.5 m, and it sometimes makes hits at distances up to 3.5 m. A groove in the roof of its mouth, along with a curled tongue, forms a tube that enables the fish to impart high velocity to the water in its mouth when it suddenly closes its gill flaps. Suppose the archerfish shoots at a target that is 2.00 m away, measured along a line at an angle of 30.0 above the horizontal. With what velocity must the water stream be launched if it is not to drop more than 3.00 cm vertically on its path to the target?
A girl, moving at 8 m/s on in-line skates, is overtaking a boy moving at 5 m/s as they both skate on a straight path. The boy losses a ball backward toward the girl, giving it speed 12 m/s relative to him. What is the speed of the ball relative to the girl, who catches it? (a) (8 + 5 + 12) m/s (b) (8 - 5 - 12) m/s (c) (8 + 5 - 12) m/s (d) (8 5 + 12) m/s (e) (8 + 5 + 12) m/s
Elisha Graves Otis invented the elevator brake in the mid-1800s, making it possible to build tall skyscrapers with fast elevators. Todays skyscrapers are a large fraction of a mile tall; for example. Taipei 101 in Taiwan has 101 stories and is 515 m (0.32 miles) tall. The top speed of the elevator in the Taipei 101 tower is roughly three times greater than the ascent rate of a commercial jet airplane. The position and time data in the table are based on such an elevator. a. Working in SI units, make a position-versus-time graph for the elevator. (You may wish to use a spreadsheet program.) b. Describe the motion of the elevator in words. c. Find the highest speed of the elevator. When is the elevator going at this speed? d. What sort of considerations would the engineers need to make to ensure the comfort of the passengers?
A hare and a tortoise compete in a race over a straight course 1.00 km long. The tortoise crawls at a speed of 0.200 m/s toward the finish line. The hare runs at a speed of 8.00 m/s toward the finish line for 0.800 km and then stops to tease the slow-moving tortoise as the tortoise eventually passes by. The hare waits for a while after the tortoise passes and then runs toward the finish line again at 8.00 m/s. Both the hare and the tortoise cross the finish line at the exact same instant. Assume both animals, when moving, move steadily at their respective speeds. (a) How far is the tortoise from the finish line when the hare resumes the race? (b) For how long in time was the hare stationary?
A student at the top of a building of height h throws one ball upward with a speed of i and then throws a second ball downward with the same initial speed i. Just before it reaches the ground, is the final speed of the ball thrown upward (a) larger, (b) smaller, or (c) the same in magnitude, compared with the final speed of the ball thrown downward?