A constant force acting on a body of mass 3.0 kg changes its speed from 2.0 m s to 3.5 m s' in 25 s. The direction of the motion of the body remains unchanged. What is the magnitude and direction of the force ? A body of mass 5 kg is acted upon by two perpendicular forces 8 N and 6 N. Give the magnitude and direction of the acceleration of the body.
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- (a) A cat with a mass of 850 kg in moving to the right with a constant speed of 1.44 m/s. What is the total force on the cat ? (b) What is the total force on the cat if it is moving to the left?A friction experiment is performed on a planet that has the same mass as Earth but half the radius. A 1.0-kg block is pulled along a horizontal dynamics track with a horizontal force of magnitude 15.0 N. If the coefficient of kinetic friction between the block and the track is 0.3, determine the acceleration of the block. O a. 14.26 m/s^2 O b. 12.06 m/s^2 O. 3.24 m/s^2 Od. 15.00 m/s^21. A force F=100 N is acting on an object of mass m=10 kg. The force makes an angle of 10° with the x-axis. Calculate the acceleration of the 9.85 m/s 8.69 m/s object. A в 7.52 m/s D 6.34 m/s 2. A 1000 kg object is rising. Its speed is increasing at 3 m/s. The force on the object is: A 1000 N B 3000 N 9800 N D 12800 N 3. A 16 kg object is initially at rest. A constant force of 8.0 N is exerted for 4 s on that object. The change in speed of this object will be 2.0 m/s 6.0 m/s 0.5 m/s 4.0 m/s A B D
- A cart of mass 8.0kg was moved by applying two constant forces. Force 1 is 28.0N at 42.0 degrees, and Force 2 is 13.0N at 110 degrees. Initially, the cart has a velocity of (3.50i + 2.20j)m/s. a. Express the two forces in unit-vector notation.b. Find the total force exerted on the cart.c. Find the angle at which the total force is applied.d. What is the acceleration of the cart?e. What is the cart's velocity after 5.0s?f. What is the position of the cart after 5.0s?g. What is the angle of the position after 5.0s?h. What is the total work done by the two applied forces?An astronaut named Johnny is driving to their rocket when they suddenly need to break. The car weighs 1900 lbs and is moving at 35 mi/hr when the astronaut slams on the breaks on dry road. Find the amount of time needed for the car to stop. Use k = 0.7. How many forces are present in the a direction? 1 It'll take the car 11.412 x seconds to stop.Scientists are experimenting with a kind of gun that may eventually be used to fire payloads directly into orbit. In one test, this gun accelerates a 2.7-kg projectile from rest to a speed of 8.3 x 10³ m/s. The net force accelerating the projectile is 4.9 x 105 N. How much time is required for the projectile to come up to speed? i 189.8 Units S
- A 7kg model rocket, initially at rest, accelerates upwards by generating a 135N thrust as it burns fuel for 5.3s. After running out of fuel the rocket continues upwards until reaching maximum height. Throughout the flight the rocket experiences a steady 23N drag force. Neglect the loss of mass as the rocket ejects fuel. What is the magnitude of the rocket's acceleration as What rocket's maximum speed during the flight? it burns fuel? unit unit What maximum height does the rocket reach? What is the magnitude of the rocket's acceleration unit after running out of fuel? unitA cart of mass 8.00 kg was moved by applying two constant forces. Force 1 is 28.0N at 42.0°, and Force 2 is 13.0 N at 110°. Initially, the cart has a velocity of (3.50 i +2.20 j) m/s. EERIN d. What is the acceleration of the cart? Ans. å = (2.05 i + 3.87 j) e. What is the cart's velocity after 5.00 s? or 4.38- Ans. 3 = (13.75 i + 21.55 j)" or 25.56 m mYou are in charge of improving the safety of a carnival ride. The ride involves a 165 kg cart travelling at 13.1 the wall. m S toward a brick wall. The cart is supposed to stop at the last second just before it hits You want the cart to come to a complete stop within a time of 1.85 s. What force is required to stop the cart in this amount of time? F = N Based on the parts you have been provided, you are able to exert a force of 3820 N on the cart. What is the maximum initial speed that the cart could have and still stop within 1.85? Vmaximum = m S
- A 7.8 kg object undergoes an acceleration of 2.9 m/s^2 A. What is the magnitude of the resultant force acting on it? N B. If this same force is applied to a 4.7kg object, what acceleration is produced? m/s^2A spacecraft was designed to assess the ability of an impact to deflect the path of an asteroid. The spacecraft was launched on a rocket. At launch, the rocket has a mass of 555,000 kg and generates a force of 7.6 x 106 N. A. If you were to neglect the effect of gravity, what would the intial acceleration of the rocket be? B. If the acceleration were to remain constant, how fast will the rocket be moving after two seconds? C. As the rocket burns fuel its mass decreases. If the thrust remains the same, how would your answer to part B change? Would the speed after two seconds be lower, the same or higher?Santa Clause is about to distribute his gifts, but his reindeer Rudolph is still sleepy. So, instead of flying they use the ground and cross a 20-m-long bridge. Starting from rest, Rudolph pulls Santa and his sleigh, with a force F 30° above the horizontal against a frictional force of 80N. 1. Draw an appropriate free body diagram to represent all the forces acting on Santa and his sleigh. 2. Suppose the combined mass of Santa, his sleigh, and his gifts is 500kg. What is the magnitude of Fif the acceleration of Santa and his sleigh is 1.5 meters per second squared? 3. How much work is done by Rudolph in pulling Santa and his sleigh in crossing the bridge? 4. What is the change in the kinetic energy of Santa and his sleigh after crossing the bridge? 5. How fast are they moving at the end of the bridge?