Helicopter drops a 0.30 kg copper ball onto a steel plate. The ball's velocity just before impact and after are 4.5 m/s and 4.2 m/s, respectively. If the ball is in contact with the plate for 0.030 s, what is the magnitude of the average force that the ball exerts on the plate during impact?
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- A young girl is riding a bicycle that has a total mass (including the kid) of 21.2 kg. The girl is moving at 5.99 m/s on a flat road when suddenly she slams on the brakes and skids to a stop in 8.22 meters. What was the magnitutde of the average force due to friction acting on the bicycle? Remeber, the magnitude of a force is always positive. Assume a constant friction force measured in Newtons and 3 significant digits in your answer.A doctor is testing how much impact force does a 75 kg athlete has on his knees when he jumps. On his first jump, he landed with stiffed legs, and it took 0.4 m/s for him to stop. The athlete’s velocity just before he hits the ground was 7.5 m/s. Compute for the impact force. How long will it take for the same athlete to stop when this time he experienced an ave. force of 280 N. with the same velocity just before he hits the ground?A baseball player hits a bunt during which the bat is in contact with the ball for 0.0005 s. If the bat applies a force of 3,000 N to the 0.15 kg baseball, what is the change in the ball's velocity? Your answer should be in units of m/s but you should only submit the number for your answer (and don't worry about negative signs, just use a positive value).
- A bullet is accelerated down the barrel of a gun by hot gases produced in the combustion of gun powder. What is the average force (in N) exerted on a 0.0500 kg bullet to accelerate it to a speed of 675 m/s in a time of 5.00 ms (milliseconds)? (Enter the magnitude.)Superman must stop a 130-km/hkm/h train in 110 mm to keep it from hitting a stalled car on the tracks. The train's mass is 3.6 ×× 105 kgkg. Determine the force that must be exerted on the train. Compare the magnitudes of the force exerted on the train and the weight of the train (give as %%). How much force does the train exert on Superman?A 2.4 kg ball strikes a wall with a velocity of7.1 m/s to the left. The ball bounces off witha velocity of 5.9 m/s to the right.If the ball is in contact with the wall for0.23 s, what is the constant force exerted onthe ball by the wall?Answer in units of N.
- A tennis ball with a mass of 50 grams was hit with a racket. The ball experiences a force of 700 N during contact with the racket and moves away with a speed of 70 m/sec. Calculate the time for the contact between the ball and the racket?You throw a nerf basketball of mass 0.002 kg into the air. Att = 0, the ball leaves your hand. Att = 0.10 s, the net force on the ball is (-0.0190, -0.0232, 0) N, its velocity is (1.87, 0.84, 0) m/s, and its position is (0.325, 0.210, 0) m. (Besides the gravitational force by Earth, air also exerts a force on the ball.)A bullet is accelerated down the barrel of a gun by hot gases produced in the combustion of gun powder. What is the average force (in N) exerted on a 0.0500 kg bullet to accelerate it to a speed of 525 m/s in a time of 1.60 ms (milliseconds)? (Enter the magnitude.) Answer in N.
- A particle of mass 2.5kg moves according to the equation x(t)-10t, where x is in meters and t is in seconds. The force (in N) acts on the particle is Select one: a. 25 b. 40 с. 35 d. 50Q3 (a) The velocity of an upward rocket is given by, m. v(t) = u ln - gt, ib – °u where m, is the initial mass of a rocket at t = 0s, q is the rate at which fuel is expelled (kg/s) and u is the velocity at which is being expelled (m/s). Given the initial mass of the rocket is 90,000 kg, the rocket expels fuel at a velocity of 1300 m/s, at consumption rate of 2000 kg/s and g =9.8067 (m/s). (i) Identify a suitable time interval between 6.8 seconds to 7.1 seconds that has b-a = 0.1 using intermediate value theorem, so that the rocket able to reach a velocity of 150 m/s. (ii) Examine the time needed for the rocket to reach a velocity about 150 m/s by using bisection method with the suitable interval found in Q3(a)(i) and iterate until |f(t) < ɛ = 0.0005 or 4th iteration. NOTE Ia=20/05|When serving a tennis ball, a player hits the ball when its velocity is zero (at the highest point of a vertical toss). The racquet exerts a force of 540 N on the ball for 4.9 ms, giving it a final velocity of 42.5 m/s. Using the data, find the mass of the ball, in grams.