Use g = 10 m/s2 Always answer in standard units (SI units). Unless otherwise instructed.  Answer to 2 decimal places. Unless otherwise instructed.  Consider an object of mass m starting from rest and sliding down a ramp. The ramp makes angle theta = 30 degrees relative to the ground. The coefficient of static friction and the coefficient of kinetic friction between the object and the ramp are both 0.5. The distance S = 1m between the object and the end of the ramp. What is the speed of the object when it reaches the end of the ramp?

A cord passing over a pulley connects two masses, as shown, where m, 3.70 kg and m₂ 6.50 kg. The system accelerates with a magnitude of 1.11 m/s². The coefficient of kinetic friction between the masses and the incline is the same for both masses. Assume the pulley is frictionless, and the cord is massless. (Due to the nature of this problem, do not use rounded intermediate values in your calculations-including answers submitted in WebAssign.) 35.0 (a) What is the coefficient of kinetic friction? (b) What is the tension (in N) in the cord?

Two forces F, = -8.40i + 4.30j and F, = 7.50i + 5.30j are acting on an object with a mass of m = 7.80 kg. The forces are measured in newtons, i and j are the unit vectors. What is the magnitude of the object's acceleration? Submit Answer Tries 0/10

7. A mass m₁ = 5.00 kg is connected by a light string that passes over a pulley of mass m3 = 7.5 kg to a mass m2 6.50 kg sliding on a frictionless inclined surface that makes an angle of 33° with the horizontal (see figure). The coefficient of kinetic friction between the mass m₁ and the horizontal surface is 0.25. There is no slippage between the string and the pulley. What is the magnitude of the tension that is acting on mass m₁? (The moment of inertia of the pulley is 1/2Mr².) f60 ssf60 ssf60 ssf60 ssf60 0 m₂ ssf60 ssf60 ssf60 ssfóossf60 s m₁ 0 ssf60 s f60 ssfooms oss is = ss mojss (9jss (9Jss is 1919 ISS f60 ssf60 ssf60 ssf60

Bob is pulling a box of his toys of mass 15.0 kg along a rough horizontal surface for a distance of 6.00 m. The tension force in the rope is 58.0 N and the angle is 30° with respect to the horizontal. The frictional force on the box is 18.0 N. Match the answers with questions. (Hint: Clearly draw the force vector and displacement vector for all cases.) What is the angle between the tension force vector and the displacement vector? A. 90° v What is the angle between the friction force vector and the displacement vector? B. none of the given v What is the angle between the normal force vector and the displacement vector? C. 60° D. 150° Е. 0° F. 210° G. 180° Н. 30°

A block with a mass of 6.18kg slides down a ramp inclined at 30.0o.  The coefficient of kinetic friction between block and ramp is uk=0.490. The kinetic friction force acting on the block as it slides has a magnitude of ________N.

A toy car is rolling down the ramp as shown in the figure. The car's mass is m = 1.6 kg and the ramp makes an angle of θ = 12 degrees with respect to the horizontal. Assume the car is rolling without friction. A) Using the coordinate system specified given an expression for the acceleration of the car in the terms of θ, g and the unit vectors i and j. B) What is the magnitude of this acceleration in m/s^2

Determine the force Q-> when the block moves with constant velocity. Express your answer in vector form.

A 781 N sprinter can push his feet back against the starting blocks with a force of 1852 N in the horizontal direction.  If the force is generated for 0.28 s, determine the horizontal velocity of the runner out of the blocks. Include magnitude and direction when reporting vectors.

A student is pulling a crate with a mass of 66.6 kg along a horizontal frictionless floor with a rope that’s inclined at an angle θ = 30.0° above the horizontal as shown. The tension force is measured to be 239 N. What is the magnitude of the normal force on the crate from the floor, in Newtons? Use g = 10.0 m/s2.    Your answer needs to have 3 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement.