Show that the acceleration of any object down a frictionless incline that makes an angle θ with the horizontal is a= gsinθ
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Show that the acceleration of any object down a frictionless incline that makes an angle θ with the horizontal is a= gsinθ. (Note that this acceleration is independent of mass.)
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- An incline is tilted at an angle of 6.7° above the horizontal. A box of mass 34 kg is pushed up the incline with a force F along the incline. If the acceleration of the box is 1.1 m-s2, calculate the magnitude of F (in N) that is needed.A monkey pushes a box of mass 25 kg in a straight line across a rough floor. The applied force F has magnitude 85 N and acts downward at an angle 0 = 10° with respect to the horizontal, as shown below. The box is initially at rest at the position x/ a). Find the coefficient of friction between the box and the floor. and it has speed v2 = 0.55 m/s at position x2 = 3.50 m. 0 m, b). What is the net work done? c). How much work (magnitude and sign) is done by the friction force? m Hint: this q involves constant acceleration, Newton's laws, workConsider a person standing on a scale in an elavator. If the elevator accelerates upwards with an acceleration of 1.21 m/s^2 and the person has a mass of 102.9 kg, what would the scale read?
- The magnitude and direction exerted by two tugboats towing a ship are 1670 kilograms, N30°W, and 1260 kilograms, S50°W, respectively. Find the magnitude, in kilograms, and the direction angle, in degrees, of the resultant force.Show that the acceleration of any object down a frictionless incline that makes an angle θ with the horizontal is a = g sin θ. (Note that this acceleration is independent of mass.)A soldier jumps from a plane and opens his parachute when his velocity reaches the terminal velocity Vr. The parachute shows him down to his landing velocity of Vr. After the parachute is deployed, the air resistance force is proportional to the velocity squared, i.e., F = kV², where k is resistance coefficient. The soldier, his parachute, and his gear have a total mass of m. (a) Show that k = mg/V; (b) Develop a relation for the soldier's velocity after he opens the parachute at time 1 = 0. Parachute Figure Q5