A block with a mass m = 2.34 kg is placed at the top of a hinged incline plane with a length L = 1.47 m. The angle the plane makes with the horizontal is slowly increased. The block starts to slide when θ = 24.8∘. The coefficient of kinetic friction between the block and the plane is μk = 0.338. Part 1) What is the coefficient of static friction between the block and the plane? μs = Part 2) What is the net force on the block as it slides down the inclined plane (when it is inclined at θ = 24.8∘)? Fnet = N down the plane Part 3) What is the speed of the block at the bottom of the inclined plane (it starts from rest at the top of the plane)? v = m/s
A 9.99 kg particle with velocity v→ = (3.10 m/s)i^ − (6.83 m/s)j^ is at x = 2.73 m, y = 2.93 m. It is pulled by a 5.08 N force in the negative x direction. About the origin, what are (a) the particle's angular momentum, (b) the torque acting on the particle, and (c) the rate at which the angular momentum is changing? (a) Number k^ Units (b) Number k^ Units (c) Number k^ Units
Two converging lenses are separated by 26.00 cm. The focal length of each lens is 13.00 cm. An object is placed 31.00 cm to the left of thelens that is on the left. Determine the final image distance relative to the lens on the right. Number Units
A camera is supplied with two interchangeable lenses, whose focal lengths are 39.0 and 190.0 mm. A woman whose height is 1.55 m stands 7.70 m in front of the camera. What is the height (including sign) of her image on the image sensor, as produced by (a) the 39.0-mm lens and (b) the 190.0-mm lens? (a) Number Units (b) Number Units
A converging lens (f = 31.5 cm) is used to project an image of an object onto a screen. The object and the screen are 156 cm apart, and between them the lens can be placed at either of two locations. Find the two object distances, the smaller being the answer to part (a). (a) Number Units (b) Number Units
Two converging lenses having focal lengths of f1 = 10.9 cm and f2 = 20.0 cm are placed d = 50.0 cm apart, as shown in the figure below. The final image is to be located between the lenses, at the position x = 28.1 cm indicated. (a) How far (in cm) to the left of the first lens should the object be positioned? cm (b) What is the overall magnification of the system? (c) Is the final image upright or inverted? upright inverted
An object is located 8.00 cm from a converging lens that has a focal length of 10.0 cm. The height of the object is 0.78 cm. What is the height hi of the image? hi = Number Units
Three vectors are given by a→ = −3.00i^ + (−3.00)j^ + (3.00)k^, b→ = −1.00i^ + (−1.00)j^ + (1.00)k^, and c→ = −4.00i^ + (−2.00)j^ + (−4.00)k^. Find (a) a→⋅(b→×c→), (b) a→⋅(b→+c→), (c) x-component, (d) y-component, and (e) z-component of a→×(b→+c→) respectively. (a) Number Units (b) Number Units (c) Number Units (d) Number Units (e) Number Units