A block and sphere are connected by a cord that passes over a pulley as shown. Neglect friction and assume the cord is massless. Take m₁ = 2.00 kg, m₂ = 4.95 kg, and 0 = 49.0°. m m₂ (a) What are the magnitude of acceleration (in m/s2) of the block and sphere? m/s2 (b) What is the tension (in N) in the cord? (Enter the magnitude.) N (c) What is the speed (in m/s) of each object 1.50 s after being released from rest? m/s (d) What If? If the incline under m₂ is rough, what is the minimum value of the coefficient of static friction for which the system will not move? us=

A block of mass m1 = 38.4 kg on a horizontal surface is connected to a mass m2 = 15.2 kg that hangs vertically as shown in the figure below. The two blocks are connected by a string of negligible mass passing over a frictionless pulley. Assume that the horizontal surface is smooth.   a) What is the acceleration (in m/s2) of the hanging mass? (Enter the magnitude only.)   b) Determine the tension (in N) in the cord. (Enter the magnitude only.)

(1) The drill exerts a 32 N-m couple on the plywood sheet during operation. What are the minimum opposite, equal and parallel forces F, that must be applied at points B and C to keep the plywood from spinning? 32 Νm B. 240 mm 450 mm Fig. P3.69

A car of mass 822 kg is traveling 26.4 m/a when the driver applies the brakes, which lock the wheels. The car skids for 4.47 s in the positive x direction before coming to rest. What is the cars acceleration in m/ s2? what magnitude force in N acted on the car during this time? How far in m did the car travel?

Two objects of mass m₁ and m₂ with m₂ > m₁ are connected by a light, inextensible cord and hung over a frictionless pulley. Both cord and pulley have negligible mass. Find the magnitude of the acceleration of the system and the tension in the cord. m mo ag ŤA mi mig TA m₂ mog

A bicycle travels 6.70 km due east in 0.240 h, then 14.40 km at 15.0° east of north in 0.310 h, and finally another 6.70 km due east in 0.240 h to reach its destination. The time lost in turning is negligible. Assume that east is in the +x-direction and north is in the +y-direction. What is the magnitude of the average velocity for the entire trip? What is the direction of the average velocity for the entire trip? Enter the answer as an angle in degrees north of east.

A block of mass 19.00 kg slides down an inclined surface at an angle 0 = 65.0° with speed v. The surface and block have a coefficient of kinetic friction my = 0.15. Determine the acceleration of the block down the inclined surface. 40.96 m/s^2 27.93 m/s^2 15.71 m/s^2 8.26 m/s^2

An object of mass 5 kg is acted on by two forces F1 = 6 i N and  F2 = 7 j N. What is the magnitude of the net acceleration? Give your answer in m/s2 to 2 sf.  The magnitude must be a positive number.

Two structural members B and C are bolted to bracket A . Knowing that both members are in tension and that P= 10 kN and Q= 15 kN, determine graphically the magnitude and direction of the resultant force exerted on the bracket using (a) the parallelogram law, (b) the triangle rule.

Falcons are excellent fliers that can reach very high speeds by diving nearly straight down. To pull out of such a dive, a falcon extends its wings and flies through a circular arc that redirects its motion. The forces on the falcon that control its motion are its weight and an upward lift force—like an airplane—due to the air flowing over its wings. At the bottom of the arc, as shown, a falcon can easily achieve an acceleration of 15 m/s2. Suppose the falcon weighs 8.0 N and is turning with an acceleration of 15 m/s2 at the lowest point of the arc. What is the magnitude of the upward lift force at this instant?A. 8.0 N            B. 12 NC. 16 N             D. 20 N