A person is pushing a 8 kg block along a horiontal surface at a constant speed of 15.4 m/s. The person is applying a force of 8.9 N to the block at an angle of 36.7° above horizontal. If the block moves a distance of 3.55 m, what is the magnitude of the impulse parted upon the block by the force of gravity?

A particle with mass mA = 3.00 kg is located at  rA = (2.50 i + 3.50 j) m, and a second particle of mass m2B = 5.00 kg is located at  rB = (1.50 i – 3.00 j) m.  Find the location of the center of mass of the system relative to the point (1,1).

In a dance jump, the dancer lifts their center of mass 40 cm.  When they land, they bend their knees as they slow to a stop and their center of mass lowers by 7.0 cm in 50 ms.  The dancer’s mass is 60 kg. (a) What is the impulse on their body as they land? (b) What is the average force on the dancer’s body? {3360 N}

A car is stopped for a traffic signal. When the light turns green, the car accelerates, increasing its speed from 0 to 5.80 m/s in 0.822 s. (a) What is the magnitude of the linear impulse experienced by a 68.0-kg passenger in the car during the time the car accelerates?

A pitcher throws a 0.200 kg ball so that its speed is 11.0 m/s and angle is 35.0° below the horizontal when a player bats the ball directly toward the pitcher with velocity 42.0 m/s at 30.0° above the horizontal. Assume +î to be along the line from the batter to the pitcher and +ĵ to be the upward vertical direction. (Express your answers in vector form.) (a) Determine the impulse (in N s) delivered to the ball. I = (b) If the force on the ball increases linearly for 4.00 ms, holds constant for 20.0 ms, and then decreases linearly to zero in another 4.00 ms, what is the maximum force (in N) on the ball? max N.S = N

A force in the negative direction of an x axis is applied for 19 ms to a 0.60 kg ball initially moving at 23 m/s in the positive direction of the axis. The force varies in magnitude, and the impulse has magnitude 47.0 N s. (a) What is the ball's velocity (including sign for direction) just after the force is applied? (b) What is the average magnitude of the force on the ball? (a) Number (b) Number Units Units

A sliotar of mass 115 g moves horizontally with an initial velocity of 38.0 m/s as it approaches a hurley. The hurley applies an average force to the sliotar so that it departs from the hurley travelling at 58.0 m/s in the opposite direction. The duration of the impact between the sliotar and hurley is 12.1 ms. Find (a) the impulse imparted to the sliotar by the hurley, and (b) the average force exerted on the sliotar by the hurley.

A particle with a mass of 2.45 kg is acted on by a force F acting in the x-direction. If the magnitude of the force varies in time as shown in the figure below, determine the following. Fx (N) 8 6 4 t (s) 1 3 4 (a) impulse of the force (in kg · m/s ) kg · m/s (b) final velocity of the particle (in m/s) if it is initially at rest m/s (c) Find the final velocity of the particle (in m/s) if it is initially moving along the x-axis with a velocity of -1.60 m/s. m/s

A 1300 kg car moving at 6.3 m/s is initially traveling north in the positive y direction. After completing a 90° right-hand turn to the positive x direction in 3.6 s, the inattentive operator drives into a tree, which stops the car in 290 ms. What is the magnitude of the impulse on the car (a) due to the turn and (b) due to the collision? What is the magnitude of the average force that acts on the car (c) during the turn and (d) during the collision? (e) What is the angle between the average force in (c) and the positive x direction? (a) Number i Units (b) Number i Units (c) Number i Units (d) Number i Units (e) Number i Units MacBook Pro esc > @ $ & 1 2 3 4 Q W E R Y tab S F K caps lock C V M hift fn control option command

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 Units