A parachutist (mass, m = 85 kg including parachute) has an initial velocity, v0 = 52.8 ms-1, immediately after the parachute opens. The drag force provided the parachute varies as a function of velocity, such that Fd = kv2 where k = 13.7 kg/m. Calculate the time it takes in seconds for the velocity to reach half the initial velocity. What is the maximum speed (terminal velocity) in km/h of the parachutist when the parachute is open?

Q: A skier descends along a slope that has an incline of 15.0o . Assuming the slope is frictionless,…

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Q: A graph of v(t) is shown for a world-class track sprinter in a 100-m race. (See figure below. For…

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Q: An object, at the top of a very tall building, is released from rest and falls freely due to…

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Q: 19. Given the v-t graph find the instantaneous acceleration at time t=1s and the average…

A: Given: A v-t graph To find: Instantaneous acceleration at time t=1s Average acceleration from time…

Q: Consider the 11.0 kg motorcycle wheel shown below. Assume the wheel is approximately a ring with an…

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Q: A single-stage rocket is launched vertically from rest, and its thrust is programmed to give the…

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Q: An electron's position is given by r= 9.7ti+ 9.0 tj witht in seconds and r in meters. What is the…

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Q: Problem 3: A skydiver decends d = 305 meters in = 9.4 s before opening his parachute. After the…

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Q: A Hot Wheels car, mass m=42.53 g, arrives at the base of a hill moving with a velocity of 15.19…

A: mass of car(m)=42.53 g initial velocity (vo)=15.19 ft/s

Q: per second and t(> 0) in seconds. At t = 1.40 s and in unit-vector notation, what are (a) the x…

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Q: Io, a satellite of Jupiter, is the most volcanically active moon or planet in the solar system. It…

A: Acceleration due to gravity on lo (g') = 1.81 ms2Let the mass of fragment = m

Q: The pilot of a jet transport brings the engines to full takeoff power before releasing the brakes as…

A: Given, Acceleration, a=0.36ga=0.36×9.8a=3.528m/s2 Initially jet is at rest. u=0 Final velocity at…

Q: The position of a particle is r(t) = (9.021-4.0j + 8.0t³k) m (a) What is the velocity of the…

A: Velocity of a particle is the rate of change of position of the particle. By differentiating the…

Q: The velocity of a particle moving in the x-y plane is given by (6.07i+ 4.97j) m/s at time t = 3.87…

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Q: A basketball player jumps straight up for a ball. To do this, he lowers his body 0.310 m and then…

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Q: The velocity of a particle moving in the x-y plane is given by (3.70i + 7.44j) m/s at time t = 6.60…

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Q: A bullet is fired straight up and takes 15.8 s to reach its peak. Determine how high the bullet goes…

A: We know that: s = ut + 12at2  and v = u + at where s is the displacement, u is the uniform velocity,…

Q: A small, single engine airplane is about to take off. The airplane becomes airborne, when its speed…

A: Using 3rd kinematic equation in horizontal direction: V^2 = U^2 + 2*a*d U = Initial speed of plane =…

Q: Assume that you are driving down a hill in Jabaal Akhdar in a winter season. The inclination of the…

A: Given: angle of inclination: 7.8o μk=0.2 component of gravity acting on the car down the hill= g…

Q: The velocity v of a particle moving in the xy plane is given by = ( 5.50 r- 5.00 r)i + 9.00 j,with V…

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Q: During braking, a truck has a steady deceleration of 7.07.0 m/s22. A box sits on the platform of…

A: Scenario: Truck undergoes sudden deceleration due to action of brake as a result of this box sitting…

Q: The froghopper, a tiny insect, is a remarkable jumper. Suppose a colony of the little critters is…

A: Given: The acceleration due to gravity on the moon is 1.62 m/s2. The acceleration due to gravity on…

Q: A sports car moving at constant velocity travels 130m in 4.9s. It then brakes and comes to a stop in…

A: First we find the initial speed of the car then we apply equation of motion to find the acceleration…

Q: An astronaut is exploring a planet which has a gravitational acceleration of only 5.59 m/s2. If the…

A: Given data The initial velocity is given as u = 13.7 m/s. The acceleration applied on the ball is…

Q: A roller coaster reaches the top of the steepest hill with a speed of 7.00 km/h. It then descends…

A: Use the Newton’s second law of motion to solve for the net force acting on the roller coaster.

Q: The head injury criterion (HIC) is used to assess the likelihood of head injuries arising from…

A: Let F denote the force, m denote the mass, aavg denote the average acceleration. Therefore,

Q: The velocity of a particle moving in the x-y plane is given by (7.15i +4.12j) m/s at time t = 5.37…

A: We are given velocity of particle. We are also given average acceleration. We hence find the final…

Q: A container with mass M kg is dropped by a helicopter from height H km at time t = 0, with zero…

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Q: A small, single engine airplane is about to take off. The airplane becomes airborne, when its speed…

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Q: A baseball is dropped from an altitude h=210 ft and is found to be traveling at 100 ft/sec when it…

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Q: 2. Suppose an object with initial temperature To is placed in a sealed container, which is in turn…

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Q: The position of an object as a function of time is x(t) = −7t2 m. What is the velocity at t = 1.18…

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Q: At t = 0, a particle moving in the xy plane with constant acceleration has a velocity of v, = (3.00…

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Q: A rocket sled having an initial speed of 107 mi/h is slowed by a channel of water. Assume that…

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Q: A ball with mass m kg is thrown upward with initial velocity 19 m/s from the roof of a building 24 m…

A: Approach to solving the question: A)    To find the maximum height from the ground, first find the…

Q: Assume that you are driving down a hill in Jabaal Akhdar in a winter season. The inclination of the…

A: As per the given data, Angle of inclination (θ) = 4.10; Coefficient of kinetic friction (µk) = 0.2;…

Q: A single-stage rocket is launched vertically from rest, and its thrust is programmed to give the…

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Q: Buster wants to demonstrate constantly-accelerated motion by letting a frictionless ice cube slide…

A: Concept used: A component of gravity acts horizontal to incline and forces ice-cube down the…

Q: A boat leave the dock at t=0.00 s and, starting from rest maintains a constant acceleration of…

A: Given, ax = 0.464 m/s^2 Vwx = 0.416 m/s Vwy = 1.33 m/s t = 4.78 s

Q: A student is testing the UAM equations by measuring the time it takes for light-weight plastic balls…

A: (D) The acceleration of the plastic balls is not uniform is the most likely cause of the large…

Q: oped from a height H from the floor with the zero initial velocity. The ball is falling under the…

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Q: straight, level road. After the brakes are applied at t=0, the motion can be approximatd by…

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Q: A bullet shot underwater will experience "viscous drag" and follow this velocity equation:…

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Q: The car shown is traveling to the left and has rear-wheel drive. The coefficient of friction between…

A: given,μ=0.8so,F=ma=-μmga=μg=(0.8)(9.8m/s2)=7.84m/s2a/2=3.92m/s2

Electric Charges and Fields

One of the fundamental properties is the electromagnetic property. Charge cannot be destroyed by any process and this contributes formally to the law of charge conservation.