2*3.5 = 7m/s
You need to multiply the acceleration by the time (which must both be in seconds; if not, convert them to the same units).
Answer:
0.6
Explanation:
The formula for the volume of a sphere is 
Thus 
The radius of the disk is 
Applying angular momentum conservation;
The
of the sphere = 
of the disk = 

= 0.6
The sheet's charge density calculates to be 1.384×10⁻⁷C/m².
Charge density is the ratio of charge per unit area.
The square sheet has dimensions l=17 cm.
To compute the area A of the sheet.

The overall charge Q on the sheet is

The charge density σ is defined as

We substitute 4×10⁻⁹C for Q and 0.0289 m² for A.

Thus, the charge density for the sheet is 1.384×10⁻⁷C/m².
Answer:
The y-component of the position vector for the car is 670m/s.
The x-component of the acceleration vector is -3 and the y-component equals 40.
Explanation:
The car's displacement vector corresponding to the velocity

is derived from the integration of the velocity.
By integrating
, we obtain the displacement vector
:

Assuming the vehicle's starting position is

the displacement at time
would then be


At the moment
, we find

The y-component of the position vector for the car is 670m/s.
The acceleration vector can be calculated as the derivative of the velocity vector:

At
, it becomes

The x-component of the acceleration vector is -3 and the y-component is 40.
Explanation:
The entire system will accelerate due to the applied force. The box will feel a force opposing friction, and once this force surpasses the friction, the box will start moving. Therefore,
Ff = μs×m1×g
m1×a = μs×m1×g
a = μs×g
The force applied is expressed as
F = (m1 + m2)×a hence
F = μs×g×(m1+m2)