A 0.050 kg whiffle ball is thrown horizontally toward a batter at 12.3 m/s. The batter swings the bat and hits the ball, applying an average force of 15.714 N to the ball, causing the ball to head back in the opposite direction (away from the batter) at 9.70 m/s. (assuming that away from the batter is the positive x-direction, determine the time that the bat and ball were in contact.
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A 0.050 kg whiffle ball is thrown horizontally toward a batter at 12.3 m/s. The batter swings the bat and hits the ball, applying an average force of 15.714 N to the ball, causing the ball to head back in the opposite direction (away from the batter) at 9.70 m/s. (assuming that away from the batter is the positive x-direction, determine the time that the bat and ball were in contact. Report your answer in hundredths of a second, but only enter the numerical value.)
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- A baseball with a mass of 150 g is thrown horizontally with a speed of 40.1 m/s (90 mi/h) at a bat. The ball is in contact with the bat for 1.00 ms and then travels straight back at a speed of 45.2 m/s (101 mi/h). Determine the average force (in N) exerted on the ball by the bat. Neglect the weight of the ball (it is much smaller than the force of the bat) and choose the direction of the incoming ball to be positive. (Indicate the direction with the sign of your answer.)A 0.160-kg hockey puck is moving on an icy, frictionless, horizontal surface. At t = 0, the puck is moving to the right at 3.00 m/s. (a) Calculate the velocity of the puck (magnitude and direction) after a force of 25.0 N directed to the right has been applied for 0.050 s. (b) If, instead, a force of 12.0 N directed to the left is applied, how long would it take to stop the puck?A rocket, which is in deep space and initially at rest relative to an inertial reference frame, has a mass of 86.2 × 105 kg, of which 14.7 × 105 kg is fuel. The rocket engine is then fired for 180 s, during which fuel is consumed at the rate of 480 kg/s. The speed of the exhaust products relative to the rocket is 2.98 km/s. (a) What is the rocket's thrust? After the 180 s firing, what are (b) the mass and (c) the speed of the rocket?
- A rocket, which is in deep space and initially at rest relative to an inertial reference frame, has a mass of 75.8 x 105 kg, of which 15.3 × 105 kg is fuel. The rocket engine is then fired for 410 s, during which fuel is consumed at the rate of 390 kg/s. The speed of the exhaust products relative to the rocket is 2.81 km/s. (a) What is the rocket's thrust? After the 410 s firing, what are (b) the mass and (c) the speed of the rocket? (a) Number i Units (b) Number i Units (c) Number i UnitsA tennis ball of mass 0.0646 kg is served. It strikes the ground with a velocity of 52.4 m/s (117 mi/h) at an angle of 21.3° below the horizontal. Just after the bounce it is moving at 48.4 m/s at an angle of 17.9° above the horizontal. If the interaction with the ground lasts 0.0712 s, what average force did the ground exert on the ball?Identical twins, each with mass 52.5 kg, are on ice skates and at rest on a frozen lake, which may be taken as frictionless. Twin A is carrying a backpack of mass 12.0 kg. She throws it horizontally at 2.55 m/s to Twin B. Neglecting any gravity effects, what are the subsequent speeds of Twin A and Twin B?
- 8.9 · A 0.160-kg hockey puck is moving on an icy, frictionless, horizontal surface. At t = 0, the puck is moving to the right at 3.00 m/s. (a) Calculate the velocity of the puck (magnitude and direction) after a force of 25.0N directed to the right has been applied for 0.050 s. (b) If, instead, a force of 12.0 N directed to the left is applied from 1 = 0 to t = 0.050 s, what is the final velocity of the puck?A billiard ball moving at 5.95 m/s strikes a stationary ball of the same mass. After the collision, the first ball moves at 4.93 m/s, at an angle of 34° with respect to the original line of motion. (a) Find the velocity (magnitude and direction) of the second ball after collision. (Enter the direction with respect to the original line of motion. Include the sign of your answer. Consider the sign of the first ball's angle.) m/s (b) was the collision inelastic or elastic? O inelastic O elasticA wagon is rolling forward on level ground. Friction is negligible. The person sitting in the wagon is holding a rock. The total mass of the wagon, rider, and rock is 99.5 kg. The mass of the rock is 0.277 kg. Initially the wagon is rolling forward at a speed of 0.488 m/s. Then the person throws the rock with a speed of 16.6 m/s. Both speeds are relative to the ground. Find the speed of the wagon after the rock is thrown (a) directly forward in one case and (b) directly backward in another. (a) vi (b) v-
- A rocket, which is in deep space and initially at rest relative to an inertial reference frame, has a mass of 72.9 x 105 kg, of which 14.7 x 10° kg is fuel. The rocket engine is then fired for 300 s, during which fuel is consumed at the rate of 360 kg/s. The speed of the exhaust products relative to the rocket is 3.82 km/s. (a) What is the rocket's thrust? After the 300 s firing, what are (b) the mass and (c) the speed of the rocket? (a) Number i Units (b) Number Units (c) Number i UnitsA rocket, which is in deep space and initially at rest relative to an inertial reference frame, has a mass of 78.4 × 105 kg, of which 8.68 × 105 kg is fuel. The rocket engine is then fired for 340 s, during which fuel is consumed at the rate of 340 kg/s. The speed of the exhaust products relative to the rocket is 3.78 km/s. (a) What is the rocket's thrust? After the 340 s firing, what are (b) the mass and (c) the speed of the rocket? (a) Number 1290000 Units N (b) Number 7720000 Units kg (c) Number 3830 Units m/sA 90.0 kg fullback running 36.9° north of east with a speed of 5.00 m/s is tackled and held onto by an 60.4 kg opponent running north with a speed of 5.34 m/s. What is the magnitude of the velocity of the players immediately after the tackle?