To tackle this question, we know the following:
1 Albert equals 88 meters.
1 A = 88 m.
Initially, we square both sides of the equation:
(1 A)^2 = (88 m)^2
1 A^2 = 7,744 m^2
<span>Since 1 acre equals 4,050 m^2, let’s divide both sides by 7,744 to find out how many acres match this value:</span>
1 A^2 / 7,744 = 7,744 m^2 / 7,744
(1 / 7,744) A^2 = 1 m^2
Then multiply both sides by 4,050.
(4050 / 7744) A^2 = 4050 m^2
0.523 A^2 = 4050 m^2
<span>Thus, one acre is approximately 0.52 square alberts.</span>
Answer:
The driveway measures 4.98 m
Explanation:
We aim to find the length of the driveway, thus utilizing the following equations
W=ΔK.E where W represents work and ΔK.E indicates the change in kinetic energy
Moreover,
also
W = F.d where F is the force and d denotes distance
Given that
= 4000 N indicating this frictional force
m = 2100 Kg
θ= 20.0°
V=3.8 m/s representing the car's speed at the bottom of the driveway
W=Δ K.E
= 15162 J
As the x component of gravity is
= mg sinФ
thus
= (2100)(9.8)sin(20.0°) results in
= 7038.77 N
And the Net force is
=
-
= 7038.77 - 4000 = 3038.77 N
So, the length of the driveway equals W / (
) = 15162/3038.77 = 4.98 m
Thus, this is the length of the driveway.
A 40 kg child throws a 0.5 kg stone at a velocity of 5 m/s. To find the recoil, we apply the conservation of momentum formula: m1•v1 + m2•v2 = 0, where m1 is the mass of the child, and v1 is the child's recoil velocity. Applying the known values results in 40•v1 = -0.5 × 5, leading to v1 = -2.5 / 40, which simplifies to v1 = -0.0625 m/s. Thus, the child's recoil speed is 0.0625 m/s.
Answer:
Refer to the explanation.
Explanation:
To grasp the concept, start with the fundamental idea of meniscus in a graduated cylinder.
"The meniscus refers to the curve noticed at the surface of a liquid due to its container. Depending on liquid surface tension and its adherence to the container’s walls, this meniscus may be concave or convex".
Given this definition, when measuring the volume of water, it's crucial to read the measurement at the bottom of the meniscus curve, as water forms a concave shape.
Taking the reading at eye level ensures an accurate volume, as it aligns with this method.
Additionally, this way of reading balances total pressure with atmospheric pressure by adjusting the cylinder's height to match the water level.
Answer:
Amplitude, A = 0.049 meters
Explanation:
Given that
A harmonic wave propagates in the positive x direction at 6 m/s along a tight string. A fixed point along this string oscillates over time according to the equation:
.......(1)
The general wave equation is expressed as:
.......(2)
A denotes the wave's amplitude
When we compare equation (1) with (2), we find:
A = 0.049 meters
Thus, the amplitude of the wave is 0.049 meters.
