in the following equation, a is acceleration, m is mass, v is velocity, r is radius, t is time, is an angle, and c is a constant. a=c mv2sin0/rtif this equation is valid, which of the following could be the units of c?a.s/kgb.m/s2c.m2/sd.kg/me.kg m/s2

Answers

Answer 1

The units of c are: [c] = m²/s³. The answer is b.

The given equation is a = cmv²sinθ/rt, where a is acceleration, m is mass, v is velocity, r is radius, t is time, θ is an angle, and c is a constant.

To determine the units of c, we can analyze the units of each term in the equation and then determine the units of c such that the units of the equation are consistent.

Units of each term in the equation are:

a: m/s²

m: kg

v: m/s

r: m

t: s

sinθ: dimensionless

Substituting these units in the given equation, we get:

[m/s²] = [c] x [kg] x [m/s]² x [dimensionless] / [m] x [s]

Simplifying the above equation, we get:

[c] = [m/s²] x [m] x [s] / [kg] x [m/s]² x [dimensionless]

Therefore, the units of c are:

[c] = m²/s³

Hence, option (b) m²/s³ could be the units of c.

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