Question

A block of mass m is moving at v1 down a rough incline of angle ? (relative to the horizontal) with a coefficient of kinetic friction between the block and the incline of ?k. The block slides a distance L along the incline before encountering an anchored, uncompressed spring parallel to the incline of stiffness k. a) [3] Write the single equation that you need to solve to determine the maximum compression x in the spring in terms of the given variables ( L, k, m, x, v1, ?, ?k and g. (Leave g symbolic for this part of the question.) [Remember: ? is entered as 'theta', v1 is entered as 'v_1', and ?k is entered as 'mu_k'.] b) [2] If m = 2.5 kg, v1 = 7.5 m/s , sin(?) = 4/5, cos(?) = 3/5, ?k = 0.21, k = 125 N/m, L = 5.0 m and g = 9.81 m/s², determine the maximum compression in the spring numerically accurate to the nearest millimeter (i.e. to three decimals): x = m

          A block of mass m is moving at v1 down a rough incline of angle ? (relative to the horizontal) with a coefficient of kinetic friction between the block and the incline of ?k. The block slides a distance L along the incline before encountering an anchored, uncompressed spring parallel to the incline of stiffness k.

a) [3] Write the single equation that you need to solve to determine the maximum compression x in the spring in terms of the given variables ( L, k, m, x, v1, ?, ?k and g. (Leave g symbolic for this part of the question.)

[Remember: ? is entered as 'theta', v1 is entered as 'v_1', and ?k is entered as 'mu_k'.]

b) [2] If m = 2.5 kg, v1 = 7.5 m/s , sin(?) = 4/5, cos(?) = 3/5, ?k = 0.21, k = 125 N/m, L = 5.0 m and g = 9.81 m/s², determine the maximum compression in the spring numerically accurate to the nearest millimeter (i.e. to three decimals):
x = m

A block of mass m is moving at v1 down a rough incline of angle ? (relative to the horizontal) with a coefficient of kinetic friction between the block and the incline of ?k. The block slides a distance L along the incline before encountering an anchored, uncompressed spring parallel to the incline of stiffness k.

a) [3] Write the single equation that you need to solve to determine the maximum compression x in the spring in terms of the given variables ( L, k, m, x, v1, ?, ?k and g. (Leave g symbolic for this part of the question.)

[Remember: ? is entered as 'theta', v1 is entered as 'v1', and ?k is entered as 'muk'.]

b) [2] If m = 2.5 kg, v1 = 7.5 m/s , sin(?) = 4/5, cos(?) = 3/5, ?k = 0.21, k = 125 N/m, L = 5.0 m and g = 9.81 m/s², determine the maximum compression in the spring numerically accurate to the nearest millimeter (i.e. to three decimals):
x = m

Added by Kayla S.

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