Figure 4.33

Three forces acting on an object are given by (-1.95i + 5.70) N, , (s.30l-1.75) N, and , (-49.5) N. The object experiences an acceleration of magnitude 3.60 mys (a) What is the direction of the acceleration? * (counterclockwiise from the +x-axis) (b) What is the mass of the object? kg (c) If the object is initially at rest, what is its speed after 11.0 s? m/s (d) What are the velocity components of the object after 11.0 s? (Let the velocity be denoted by v.) 1) mis I+ Need Help? Weh

The forces acting onan object weighingW units on aninclined planepositioned at anangle of θ with thehorizontal (see figure)are modeled byμW cos θ = W sin θ,where μ is the coefficient of friction. Solve theequation for μ and simplify the result.

Suppose a 116 kg crate is pulled by a horizontal force of 675 N along a flat surface.  The coefficient of kinetic friction is 0.35.  Find the acceleration of the crate.

(a) What is the coefficient of kinetic friction between the crate and the floor? (Enter your answer to at least three decimal places.) (b) If the 250-N force is instead pulling the block at an angle of 20.0° above the horizontal, as shown in the figure b, what will be the acceleration of the crate? Assume that the coefficient of friction is the same as that found in part (a). m/s2

(a) What is the mass of the child and basket if a scale reading of 100 N is observed?(b) What is the tension T in the cord attaching the child to the scale?(c) What is the tension T' in the cord attaching the scale to the ceiling, if the scale has a mass of 0.200 kg?(d) Draw a sketch of the situation indicating the system of interest used to solve each part. The masses of the cords are negligible

Suppose the mass of a fully loaded module in which astronauts take off from the Moon is 10,000 kg. The thrust of its engines is 30,000 N. (a) Calculate its the magnitude of acceleration in a vertical takeoff from the Moon. (b) Could it lift off from Earth? If not, why not? If it could, calculate the magnitude of its acceleration

A 6.49 kg block is at rest on a horizontal surface. Attached to this block is a massless, stretchlessstring. On the other end of the string is a hanging mass (mB). The coefficients of static and kinetic frictionbetween the block and the surface are 0.728 and 0.563, respectively. (a) Find the minimum value of mB that willcause the block to begin to move. (b) What is the acceleration of the block when the hanging mass is equal tothe value found in part (a)? (c) What is the acceleration of the block when the hanging mass is equal to twice thevalue found in part (a)?