A body of mass 5 kg is moving with speed 144 km/h then its momentum is 2x10^x gr-cm/sec then find 'x'
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Answer:
given: m = 5 kg, v = 144 km/hr
= 144*(5/18) m/sec
to find: x
formula used- M = m x v
M = 2×10ˣ gm-cm/sec
= (2×10ˣ)/(10³×10²) kg-m/sec
= 2×10⁽ˣ⁻⁵⁾kg-m/sec
=> 5×144×(5/18) = 2×10⁽ˣ⁻⁵⁾
=> 10⁽ˣ⁻⁵⁾ = (5 x 144 x 5) / 18 x 2
=> 10⁽ˣ⁻⁵⁾ = 5 x 4 x 5
=> 10⁽ˣ⁻⁵⁾ = 100
=> 10⁽ˣ⁻⁵⁾ = 10²
=> x-5 = 2 [ as base on both sides is same, equate the exponents]
=> x = 2+5
=> x = 7
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