5. Gotta stay boosted. A 1.50 [kg] box moves along a frictionless horizontal surface with an initial speed of 5.00 [m/s] going to the right. A constant 3.00 [N] force is then applied to the box at an angle 0 = 35.0° with respect to the displacement vector. What is its final speed after moving 2.00 (m]? C. 5.74 (m/s] D. 6.00 (m/s] A. 4.91 [m/s] B. 5.62 (m/s]
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- 1. A 45.0 kg object is pushed up an incline as shown with a horizontal force of 300.0 N. The object is initially at rest but it starts moving up the incline. Find the speed of the object after 3.50 s if the coefficient of kinetic friction between the object and the incline is 0.25 and the object is still on the incline after 3.50s. 240 N I. 20.002. A 500 g block w/ an initial speed of 90 cm/s slides (to the right) along a horizontal tabletop against a friction force of 0.80 N. a. How far will it slide before stopping? b. What is the coefficient of friction between the block & the tabletop?Vy mปs 3 m/s 1. An object of mass of 4.0 kg is initially moving with a velocity v, as shown. It then experiences a force that changes its velocity to v,, as shown. The object's change in momegtum has a magnitude of which of the following. B. 8.0 kg m/s A. 4.0 kg· m/s C. 12 kg m/s 2. What would be the change in kinetic energy of the object? D. 16 kg m/s A. 16 J B. 18 J. С. 32 J D. 64 J
- A 400-N body starts up the incline of 30o with the horizontal (fk = 0.2) with a velocity of 3m/s. a. How long must a 500-N horizontal force act on the body to increase its velocity to 8m/s? b. How far will the body travel while the force is acting?Three forces act at point O as shown. Force F3lies in the x-y plane. Select the expression that denotes a unit vector in the direction of F1 . a. - 1/3 i - 2/3 j - 2/3 kb. - 1/3 i + 2/3 j + 2/3 kc. - 1/3 i + 2/3 j - 2/3 kd. - 1/3 i - 2/3 j + 2/3 k Determine the direction angles (α, B ,y ) for F₂ . a. (103ᵒ , 72.1ᵒ , 22.6ᵒ ) b. (103ᵒ ,108ᵒ , 22.6ᵒ )c. (76.7ᵒ , 72.1ᵒ ,157ᵒ ) d. (103ᵒ , 72.1ᵒ ,157ᵒ ) Determine the angle between F1 and F3 . a. 26.0ᵒ b. 132ᵒc. 90.0ᵒ d. 03. A skier of mass m starts from rest at the top of a frictionless, snow covered hill angled at 0 above the horizontal. The ski down the hill a distance du and onto a flat parking lot. The coefficient of friction between the cement in the parking lot and the skis is μk. They move along the parking lot a distance dR before stopping. This is drawn below a. Derive an equation for the skier's speed at the bottom of the hill.. b. Derive an equation for dr, the distance the skier slides into the parking lot before stopping. c. If there was a little friction between the snow and skies, explain how your solution would change. You should not re-solve the problem, just describe how your methods would need to change. dH e dR
- 3. A double-inclined plane is shown here. The coefficients of friction are 0.30 for the left surface and 0.10 for the right surface. 10 kg 15 kg PIf the system is released from rest, what direction will it accelerate? а. Explain why or why not. Note: You do not need to make a 37° 53° calculation – use physical intuition! Think what would happen without friction and work from there. b. Now that you have the direction of the acceleration of the system, find the magnitude of the acceleration. Show your work, including FBDS. Note: Tilt your axes for both surfaces. Put the positive direction in the direction of the acceleration to take care of minus sign issues.Name: ID: A 8. A1.8-kg block is released from rest at the top of a rough 30° inclined plane. As the block slides down the incline, its acceleration is 3.0 m/s? down the incline. Determine the magnitude of the force of friction acting on the block. 4.2 N a. b. 3.0 N 3.4N d. 3.8 N 2.3 N C. e. hpCompute for the normal force. n M₂ Ⓒ = 40.3° A. m2gcos40.3 B. m2gsin49.7 C. m2gtan49.7 D. m2g m₂g T m₁ m.g
- 5. A projectile of mass 0.75 kg is shot straight up into the air with an initial speed of 20 m/s. if there were no air resistance? a. How high would it go b. If the projectile rises to a maximum height of 12 m, determine the magnitude of the average force due to air resistance.A 19.8-kg box is moving due east at a constant velocity of 15.5 m/s. Compute the normal force exerted by the surface on the box. a. 1.63 N b. 20.20 N c. 306.90 N d. 194.04 N A 57.1 kg person jumps on the ground from a height of 1.42 m. If he lands stiffly (with his knee joints compressing by 0.500 cm). Calculate the force on the knee joint. a. 111916.00 N b. 16216.40 N c. 158920.72 N d. 1589.21 NANSWERS MUST BE IN 3 DECIMAL PLACES 1. A 400-N body starts up the incline of 30o with the horizontal (fk = 0.2) with a velocity of 3m/s. How long must a 500-N horizontal force act on the body to increase its velocity to 8m/s? 2.. A 400-N body starts up the incline of 30o with the horizontal (fk = 0.2) with a velocity of 3m/s. How far will the body travel while the force is acting?