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What are m2's and m1?

Updated: 9/27/2023
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Q: What are m2's and m1?
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Two objects attract each other gravitationally with a force of 2.5x10-10 N when they are 25m apart Their total mass is 4.0kg find their individual masses?

Alright, so basically you're given: m1+m2=4.0kg, r=25m, Fg=2.5*10-10N We know that Fg=Gm1m2/r2 Using the fact that m1+m2=4.0kg, we know that m2=4.0kg-m1 So: Fg=Gm1(4.0kg-m1)/r2 =G(m1(4.0)-m12)/r2 So: (-G/r2)m12+(4G/r2)m1-Fg=0 Here we can use the quadratic formula to solve for m1 Once you have m1, just use m1+m2=4.0kg to find m2 I'll leave the actual number crunching to you. Hope this helps!


Two billiard balls of equal mass undergo a perfectly elastic head collision. What will be their speeds after the collision.?

The velocities of the two bodies after the elastic collisions are given by V1=(M1-M2)U1/(M1+M2)+2M2U2/(M1+M2) V2=(M2-M1)U2/(M1+M2)+2U1M1/(M1+M2) Where, V1,V2 are the velocities of the two bodies after collision. U1,U2 are the velocities of the two bodies before colision.(U1>U2) M1,M2 are the masses of the two bodies. when the mass of two bodies are equal that is M1= M2 then V1=0+2MU2/2M=U2 V2=0+2MU1/2M=U1 Thus when two billiard balls of equal masses undergo perfectly elastic collision the velocities the two bodies are interchanged after the collision.


Factors that affect gravity between objects?

The force of gravity is F=G*m1*m2/r^2 G is the universal gravitation constant 6.67*10^-11 m^3kg^-1s^-2 m1, m2 are the masses of the two objects, r is the separation. The force on m1 acts in the direction of m2, and the force on m2 acts in the direction of m1.


What is the formula for elastic collisions?

if we assume m1 (mass) and v1 (velocity) for first mass , m2 and v2 for second mass ,we have : m1 v1i + m2 v2i = m1 v1f + m2 v2f and 1/2 m1 v1i2 + 1/2 m2 v2i2 = 1/2 m1 v1f2 +1/2 m2 v2f2 i : initial f : final This is a simplified version: vf1= ((m1-m2)/(m1+m2))(v1i)+ (2m2/(mi+m2)vi2


Two objects attract each other with a gravitational force of magnitude 1.0 x 10-8N when separated by 20.0 cm If the total mass of the object is 5.0 kg what is the mass of each?

m1 + m2 = 5 kg F = 1 x 10-8 N G = 6.67 x 10-11 N m2/kg2 r = 0.2 m F = (Gm1m2) / r2 1 x 10-8 N = (6.67 x 10-11 N m2/kg2)(m1)(5-m1) divide by 6.67 x 10-11 N m2/kg2 6 = 5m1 - m12 m12 - 5m1 + 6 = 0 (m1 - 3)(m1- 2) = 0 m1 = 3 kg m2 = 2 kg