The figure below shows two blocks connected to each other by a light cable that passes over a pulley with negligible friction. The block of mass m₁ = 3.10 kg lies on a horizontal table with negligible friction, while the block of mass m₂ = 10.4 kg hangs vertically. 1111 (a) What is the magnitude of the acceleration of each block (in m/s2)? (Here, a, is the acceleration of m₁, and a₂ is the acceleration of m₂.) m/s² m/s² a₂ = (b) What is the tension in the cable (in N)? N
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- Blocks 1 and 2 are moving to the right on a frictionless surface by the tension TB = 36 N as shown. m1 = 2.0 kg, and m2 = 3.2 kg. What is the magnitude of the acceleration of block 2, in m/s²? Your answer needs to have 2 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. m₁ TA m₂ TBInstructions Use g = 10 m/s2 Always answer in standard units (SI units). Unless otherwise instructed. Answer to 2 decimal places. Unless otherwise instructed. A) One way to determine the coefficients of friction (μs and μk) between two surfaces is to use an incline plane. Consider a block of mass m = 2.0kg initially at rest at the top of the ramp. The angle θ is increased slowly. The object starts to slide down the ramp when the angle is 40 degree. Determine the value of μs. B) From the above problem, the block slides down the slope with an incline angle of 40 degree, the angle is kept constant. The block starts from rest and travels along the ramp by distance d = 2.0 m in time t = 1.5 s. Determine the value of μkWorkmen are trying to free an SUV stuck in the mud. To extricate the vehicle, they use three horizontal ropes, producing the force vectors shown in the figure.(Figure 1) Take F₁ = 864 NF2 = 784 N, and F3 = 384 N. Figure Part A F₂ 53° F3 32° F₁ Find the components of each of the three pulls. Enter your answer as three numbers, separated with commas. F1, F2, F32 = ΜΕ ΑΣΦ Submit Previous Answers Request Answer × Incorrect; Try Again Part B Find the y components of each of the three pulls. Enter your answer as three numbers, separated with commas. ΜΕ ΑΣΦ Fly, F2y, Fay = ? ? N N 1 of 1
- Instructions Use g = 10 m/s2 Always answer in standard units (SI units). Unless otherwise instructed. Answer to 2 decimal places. Unless otherwise instructed. A 5 kg block is placed on top of a 10 kg block. A horizontal force of 45 N is applied to the 10 kg block, and the 5 kg block is tied to the wall. The coefficient of kinetic friction between all moving surfaces is 0.2. Find the magnitude of the tension in the string holding the 5.0 block.Please show complete solution for letters d, e, f, g and hDetermine the velocity of the crate when t = 4 s. Express your answer to three significant figures and include the appropriate units. The coefficient of kinetic friction between the 55-kg crate and the ground is μk = 0.3. The crate starts from rest, and P = 240 N. (Figure 1) Part A Figure 30° ✓ 1 of 1 НА ? v = Value Units Submit Request Answer Part B Determine the distance the crate travels when t = 4 s. Express your answer to three significant figures and include the appropriate units. НА ? 8 = Value Units Submit Request Answer Provide Feedback
- The figure shows a box of dirty money (mass m₁ = 3.5 kg) on a frictionless plane inclined at angle 0₁ = 34°. The box is connected via a cord of negligible mass to a box of laundered money (mass m₂ = 1.6 kg) on a frictionless plane inclined at angle 02 = 68°. The pulley is frictionless and has negligible mass. What is the tension in the cord? Number Units M²1 m2 02/Two ropes are attached to a tire on the ground. The first rope exerts a force of 205. N in a direction 14.9 degrees west of north. The second rope exerts a force of 362. N in a direction 27.6 degrees east of south. Find the magnitude (in N) of the net force on the tireQuestion 3. The cart shown in figure below moves with constant deceleration changing the speed from v0 = 5 m/s to v1 = 1 m/s. After 2 seconds when it reaches the speed v1 it suddenly stops. Write the displacement of the mass as a function of time. Mass m moves without friction on the surface of the cart. Assume positive direction from left to right (direction of motion of the cart). Numerical values: m = 2 kg, k = 1.152 kN/m. V k Ans: x(t) = 3.472 cos 24 t + 41.6 sin 24 t (mm) m L
- A train is traveling up a 2.78 ° incline at a speed of 4.44 m/s when the last car breaks free and begins to coast without friction. Part A How long does it take for the last car to come to rest momentarily? Express your answer using two significant figures. HV ΑΣφ t = S Submit Request Answer Part B How far did the last car travel before momentarily coming to rest? Express your answer using two significant figures. ΑΣφ ? S = m Submit Request Answer Provide FeedbackBoxes A and B are in contact on a horizontal, frictionless surface (Figure 1). Box A has mass 25.0 kg and box B has mass 5.0 kg. A horizontal force of 130 N is exerted on box A. Figure A B 1 of 1 Part A What is the magnitude of the force that box A exerts on box B? Express your answer with the appropriate units. F = Submit LON μα Value Request Answer < Return to Assignment Units Provide Feedback MacBook Air ?A person of mass, m, is riding an elevator while standing on a bathroom scale. The person looks at the bathroom scale and it reads 59 % of their weight. What is the acceleration of the elevator? Consider UP to by (+) and express your answer in m/s/s to 2 significant figures.