An object moves at a constant speed along a circular path in a horizontal 𝑋𝑌 plane, with the center at the origin. When the object is at 𝑥 = −2𝑚, its velocity is −(4𝑚/𝑠)𝑗̂. What is the object’s acceleration when it is 𝑦 = 2m

April 19, 2022

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Physics Problems

Question : An object moves at a constant speed along a circular path in a horizontal 𝑋𝑌 plane, with the center at the origin. When the object is at 𝑥 = −2𝑚, its velocity is −(4𝑚/𝑠)𝑗̂. What is the object’s acceleration when it is 𝑦 = 2m

(A) $-\left( 8m/s^{2}\right)𝑗̂$

(B) $-\left( 8m/s^{2}\right)𝑖̂$

(D) $-\left( 4m/s^{2}\right)𝑖̂$

Answer : option (A)

Solution :

An object moves at a constant speed along a circular path in a horizontal 𝑋𝑌 plane, with the center at the origin. When the object is at 𝑥 = −2𝑚, its velocity is −(4𝑚/𝑠)𝑗̂. What is the object’s acceleration when it is 𝑦 = 2m