Mass of a ball

The combination of the force of gravity and my hand provide a net force of 40 N 40~\mbox{N} on a ball straight up. The ball accelerates at 100 m/s 2 100~\mbox{m/s}^2 while it is in my hand. What is the mass of the ball in kg ?


The answer is 0.4.

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15 solutions

Cole Coupland
Aug 12, 2013

Applying Newton's Second Law of Motion we know that F = m a F = ma

Rearranging we determine m = F a m = \frac{F}{a}

We also know that the net force applied to the ball is 40 N 40N and that it accelerates at 100 m s 2 100ms^{-2}

Inputting the provided values into the obtained formula we determine the mass of the ball

m = 40 N 100 m s 2 = 0.4 k g m = \frac{40N}{100ms^{-2}} = 0.4kg

Ayon Pal
Aug 11, 2013

Let the net force of the ball is 40 N 40 N = 40 k g . m / s 2 40 kg.m/s^2

And the ball accelerates at 100 m / s 2 100 m/s^2 ,

Then the mass of the ball is 40 / 100 40/100 = 0.4 k g 0.4 kg

You might want to use \ for spaces within LaTeX.

For example: 40 N = 40 k g m / s 2 40 \ N = 40 \ kg \ m/s^2 .

Sreejato Bhattacharya - 7 years, 9 months ago

According to Newton's 2 n d 2^{nd} \ Law of Motion,

Sum of all forces acting on the body = Product of mass * it's acceleration

Implies,

40 = M × a M \times a

40 = M × 100 M \times 100

40 100 \frac{40}{100} = M

M = 0.4 Kg

Jubayer Nirjhor
Aug 20, 2013

By Newton's 2nd law, We know that, F = m a F=ma ...

Here, F = 40 N F=40N and a = 100 m / s 2 a=100m/s^2 ...

So, F = m a 40 N = m × 100 m / s 2 F=ma \Longrightarrow 40N=m \times 100m/s^2

m = 40 k g m / s 2 100 m / s 2 m = 0.4 k g \Longrightarrow m=\frac {40kg m/s^2}{100m/s^2} \Longrightarrow m=0.4 kg

Therefore, the mass of the ball and the required answer is 0.4 \fbox {0.4}

Poornima Bharat
Aug 17, 2013

F=ma 40=m*100 m=40/100 m=0.4kg

Pedro Henrique
Aug 15, 2013

f = 40N, a = 100m/s^2 e m = ?

Aplicando a equação f = m * a (física, meu amor), temos:

  40 = m * 100
   m = 0.4kg.
Matthew Tan
Aug 14, 2013

F = ma

40 = m x 100

m = 0.4 kg

Fr = m . a, 40N = m . 100m/s², m = 40/100 , m = 4 x 10/ 10² = 4 x 10 x 10-² = 4 X 10-¹ = 0,4 Logo m = 0,4 kg

Robson Júnior
Aug 13, 2013

F= m × a m \times a , onde F = força resultante, m = massa do corpo e a = aceleração do corpo.

  • F= m × a m \times a

  • 40 = m × 100 m \times 100

  • m = 40 100 \frac{40}{100}

  • m = 0.4 kg

Leonardo Cidrão
Aug 13, 2013

Newton's Second Law ---> F=ma ---> 40=100m ---> m=0.4kg

Zhen Xian Hew
Aug 12, 2013

F=ma,m=F/a, where F is the net force =40/100 =0.4 kg

Russell Few
Aug 12, 2013

The force is 40 N 40N while the acceleration is 100 m s 2 100 \frac{m}{s^2} .

By Newton's Second Law, F = m a F=ma , m m , which is the mass of the ball in k g kg , is F a \frac{F}{a} , which is 40 N 100 m s 2 = 0.4 k g \frac{40N}{100 \frac{m}{s^2}}=\boxed{0.4kg} .

Sourav Kabiraj
Aug 12, 2013

P=m/f , m=P/f=40/100=0.4

Andrias Meisyal
Aug 11, 2013

Using Law of Newton II, We know that:

F = m a F = ma , F F is the force in newton , m m is the mass in kg , and the accelerate a a . So, We get the mass, m m from m = F a = 40 100 = 0.4 m = \frac{F}{a} = \frac{40}{100} = \mbox{0.4} m/s2 .

*sorry, the mass is in the kilogram..

Andrias Meisyal - 7 years, 10 months ago
William Mitchell
Aug 11, 2013

It is well known that F=ma .

We are given F=40 N , and a=100 m/s^2 .

Plugging these in to the formula and solving yields:

40 40 N = m 100 =m\cdot100 m/s^2

m = 0.4 \boxed{m=0.4} kg

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