85.689 kg is the astronaut's mass.
<u>Explanation:</u>
Given data: m = 22.5 kg and T = 1.3 sec
So, using the below formula,
Now, after putting the values of m and T in the above equation, we will find out the value of k which is as,
To remove the square root, take square on both sides, we get,
Now, we have the same string but this time we have different mass and different time. So, let the mass of the astronaut is and = 2.54 sec, k= 525.7 kg. Apply these values in the equation, we get,
Taking squares on both sides, we get,
The gravitational force on block B is twice as much as the gravitational force on block A.
<h3>What is Force?</h3>
Force is the product of mass and acceleration. If the mass of A is 1Kg and the mass of B is 2Kg, In order to give the masses the same horizontal acceleration, the magnitude of the force on block B must be twice as much as the force on block A.
Given that the mass of A is 1Kg and the mass of B is 2Kg, the gravitational force on block B is twice as much as the gravitational force on block A.
If I hold block A with a mass of 1 kg in one hand and block B with a mass of 2 kg in the other and release both from the same height above the ground at the same time, the two blocks hit the ground at the same time, because they both accelerate at the same rate while falling. The greater gravitational force on block B is compensated by its greater mass, giving it the same acceleration.
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States of matter
Solid, liquid and gas are all equal to one another in a different way in the world, so they are states of matter because they all make up with each other but in different forms
Answer:
(A⃗ ×B⃗ )⋅C⃗ = 69.868
Explanation:
We simplify the cross product first, thereafter the solution of the cross product is now simplified with the dot product as shown in the step by step calculation in the attachment
Trigonometry allows finding the result for the decomposition of the displacement vector is:
x = 2.12 mi
y = -2.12 mi
Displacement is a vector quantity, which has modulus and direction.
The cardinal points are a reference system with respect to which measurements are made, this system is related to the Cartesian system with the East in the positive direction of the x-axis and the North with the positive direction of the y-axis.
In the attached we can see a diagram of the vector and its components, the indicated direction of 45 S of the E, in the Cartesian system where the angles are measured from the positive side of the x-axis in a counterclockwise direction is:
θ = 360 - 45
θ = 315º
Let's use trigonometry to decompose the vector d = 3 mi
cos 315 =
sin 315 =
x = d cos 315
y = d sin 315
Let's calculate
x = 3 cos 315
y = 3 sin 315
x = 2.12 mi
y = -2.12 mi
The negative sign indicates that the displacement is towards the negative side, that is, towards the South.
In conclusion using trigonometry we can find the result for the decomposition of the displacement vector are:
x = 2.12 mi
y = -2.12 mi
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