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- A 75 kg sky-diver jumps from an aeroplane from aheight of 1.45 km as shown in figure-2. If the airexerts a resistance of 733 N on the parachute,estimate his velocity just before reaching the ground.The block as shown in figure is pulled by force P, Find the velocity of the block when it has moved 10 ft from rest.A 110 kg block is pushed with a force of 340 N in the direction indicated on the image, on a plane inclined at 30º in regard to the horizontal. A friction force of 124 N opposes the motion. suppose Its initial speed is 0.4 m/s. What is the final velocity of the block when it moves 2 m?
- The green colored block shown in the figure below is free to slide along the inclined plane on the cart.The cart has wheels that allow it to move horizontally. If the angle of inclination of the plane is 45o andthe coefficient of friction between the block and the plane is μs=2/5 find the minimum and maximumacceleration (In terms of g) the cart should have so that the block doesn’t slide.A rocket has a mass of 2x104kg of which half fuel. Assume that the fuel is consumed at a constant rate as the rocket is fired and that there is a constant thrust of 5 Mega Newtons. Neglecting air resistance and any resistance and any possible variation of gravity, computea. The initial acceleration andb. The acceleration just as the last fuel is usedhe blocks A and B are connected by a cable that runs around two pulleys of negligible mass, as shown in the figure. The kinetic coefficient of friction between the inclined plane and block A is 0.4. If the initial velocity of A is 3m/s down the plane, determine the displacement ∆SA of block A (measured from its initial position) when the system comes to rest.
- A block of mass 10.2 kg is sliding at an initial velocity of 3.65 m/s in the positive x-direction. The surface has a coefficient of kinetic friction of 0.153. (Indicate the direction with the signs of your answers.) What is the force of kinetic friction (in N) acting on the block? What is the block's acceleration (in m/s2)? How far will it slide (in m) before coming to rest?A block of wood provided a decelerating force of -500 N to stop the penetration of a 0.005 kg spear upon impact. What is the depth of penetration of the spear upon collision when its initial velocity is +400 m/s. Show the given, formula and figure/fbd.A 30 kg boulder was initially moving at a velocity of 10 m/s, in order to stop it 10 N of constant retarding force is applied on it. After how long will the boulder stop?
- A parcel is connected to a flying drone as illustrated above. Note that the coordinate system is givenwith +y pointed in the upwards direction. Holding the parcel, the drone takes off moving straight upwith a velocity of 8.40. m/s. Note that, as usual, y = 0 at the ground.After 8.00 s, the drone accidentally releases the parcel! The parcel is in “freefall” immediately after it isreleased, as defined in Lecture 7. Assume that the magnitude of the acceleration, g = 9.81 m/s2, and thatthe drone continues with the same velocity after releasing the parcel. Ignore the effects of air-resistance a) What is the acceleration of the drone as it travels upwards?b) What is the velocity of the parcel immediately after it is released?c) What is the acceleration of the parcel immediately after it is released? (Remember accelerationis a vector and the sign is important (i.e. “+” for pointing up, or “-” for pointing down.d) What is the velocity and acceleration of the parcel when it reaches its maximum…The block shown in Figure 2 has mass m=7.0 kg and lies on afixed smooth frictionless plane tilted at an angle θ = 22° to thehorizontal.(a) Determine the acceleration of the block as it slides downthe plane.(b) If the block starts from rest 12.0 m up the plane from itsbase, what will be the block’s speed when it reaches thebottom of the incline?(c) A block is given an initial speed of 4.5 ms-1up the 22.0° plane.(i) How far up the plane will it go?(ii) How much time elapses before it returns to its starting point? Ignore friction.1) please show work how long would it take for a net Upward force of 100 N to increase the speed of a 50 kg object from 100 m/s to 150 m/s