Answer:
To calculate the tension on a rope holding 1 object, multiply the mass and gravitational acceleration of the object. If the object is experiencing any other acceleration, multiply that acceleration by the mass and add it to your first total.
Explanation:
The tension in a given strand of string or rope is a result of the forces pulling on the rope from either end. As a reminder, force = mass × acceleration. Assuming the rope is stretched tightly, any change in acceleration or mass in objects the rope is supporting will cause a change in tension in the rope. Don't forget the constant acceleration due to gravity - even if a system is at rest, its components are subject to this force. We can think of a tension in a given rope as T = (m × g) + (m × a), where "g" is the acceleration due to gravity of any objects the rope is supporting and "a" is any other acceleration on any objects the rope is supporting.[2]
For the purposes of most physics problems, we assume ideal strings - in other words, that our rope, cable, etc. is thin, massless, and can't be stretched or broken.
As an example, let's consider a system where a weight hangs from a wooden beam via a single rope (see picture). Neither the weight nor the rope are moving - the entire system is at rest. Because of this, we know that, for the weight to be held in equilibrium, the tension force must equal the force of gravity on the weight. In other words, Tension (Ft) = Force of gravity (Fg) = m × g.
Assuming a 10 kg weight, then, the tension force is 10 kg × 9.8 m/s2 = 98 Newtons.
Answer:
D. If it has coarse grains, then it cooled slowly beneath the surface of the Earth. If it has fine grains, then it cooled rapidly on the Earth's surface.
Explanation:
The easiest way for a geologist to identify where the igneous rocks have formed is to look at their grains. There's two types of igneous rocks, intrusive and extrusive. The intrusive igneous rocks have formed from the magma that has cooled off slowly deeper into the crust, thus their crystals had more time to grown, and they have coarse grains. The extrusive igneous rocks have formed from the lava that has cooled off quickly on the surface, thus their crystals had very little time to grow, so they have fine grains.
The kinetic energy of the proton is 3.4 kev
1 kev = 1.602 × 10^-16 joules
therefore 3.4 kev is equivalent to;
3.4 × (1.602 ×10^-16)= 5.4468 × 10^-16 J
Kinetic energy is calculated by the formula 1/2mv² where m is the mass and v is the velocity.
Therefore V = √((2 × ( 5.4468×10^-16))/ (1.67 ×10^-27))
= 8.077 × 10^5 m/s
Answer:
Explanation:
Power rating of a solar panel is 1.50 KW/m²
It generates 2.50 MJ in an hour.
We need to find the area of this type of solar panel would be needed. The power pertaining to generate this energy is given by :
Let A be the area of the solar panel. It is calculated as follows :
So, the required area of the solar panel is .
Answer:
Explanation:
According to Pascal's Law, the pressure transmitted from input pedal to the output plunger must be same:
where,
F₁ = Load lifted by output plunger = 2100 N
F₂ = Force applied on input piston = 44 N
r₁ = radius of output plunger
r₂ = radius of input piston
Therefore,