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The piece of wire is 52 feet long. It is cut into two pieces, each of which is then bent into the square. Total area of 2 squares is 97 square feet. Find lengths of sides of two squares?
Circumference of beaker is 16 cm and its height is 9 cm, and honey is 6 cm below top of rim. Find shortest route for ant to take to reach honey?
A ball is dropped from rest from the top of a building of 10 m. i) Determine the velocity of ball if it has fallen a distance of 3 m. ii) Determine the velocity of ball as it strikes the ground
The sum of first five terms of the arithmetic sequence is 40, and sum of first ten terms of sequence is 155. Determine formula for nth term of sequence.
A person pulls a sled from rest all along a rough horizontal surface. Given that the sled consists of a mass of 25 kg, the person pulls having a constant force of 50 N directed at an angle of 50 deg
A bullet having mass 3.00 g with an initial speed of around 800 m/s penetrates a tree to a depth of 6.00 cm. Employ the work-energy theorem to find out the magnitude of the frictional force applied
Throughout this time, the car is transferred 25m. When friction is neglected, determine: i) The final speed of the car. ii) The horizontal force with which the mechanic pushes the car
The randomly selected policyholder from group had zero claims in Year 1. Find semiparametric empirical Bayes evaluate of number of claims in Year 2 for same randomly selected policyholder.
A block having mass 3 kg is pushed 2.2 m all along a frictionless horizontal table through a constant 16 N force directed 25 degrees beneath the horizontal. Find out the work done through: i) The a
A billiard ball moving at 5.80 m/s hits a stationary ball of the similar mass. After the collision, the primary ball moves at 5.30 m/s at an angle of around 24.0° with respect to the original li
Suppose that the resistivity of copper is around 1.673 × 10^-8 O*m. The drift speed of the electrons is around 0.0422 mm/s. (i) Determine the potential difference among the two ends of the cater
A weight hanged from a spring is observed to bob up and down over a distance of 8.2 cm 53.3 times each second. Determine its period? Determine how do you compute ans.?
5 men and 4 women are going to occupy the row of nine seats. In how many different arrangements can they be seated so that men occupy seats 1, 5, and 9 and women occupy seats 2 and 8?
When the density of the ball is around 0.240 that of water and when the drag force on the ball from the water is negligible, determine how high over the water surface will the ball shoot as it emerg
A block of copper of 3.7 kg at a temperature of around 70oC is dropped into a bucket having a mixture of ice and water whose net mass is 1.2 kg. If thermal equilibrium is arrived at the temperature
Determine the magnitude of the gravitational force on the meteor from the satellite at the nearest approach?
The current density in a cylindrical conductor having radius R = 50.7 cm, varies as J(r) = J0r/R (in the area from zero to R), where J0 = 0.413 C/m2. i) Determine the magnitude of the magnetic field
You might avoid any change in the comet's mass and suppose that its angular momentum around the Sun is conserved.
Explain difference between the lump sum payment and annuity. Which would prefer to receive, and why? Do you think yourself to be risk-averse or more comfortable with risk? Explain why?
What acceleration is experienced by the managers remaining at the rim? Suppose that the average mass of each inhabitant is around 65.0 kg.
A solid, uniform disk having radius 0.250 m and mass 54.5 kg rolls down the ramp of length 4.20 m which makes an angle of around 17.7° with the horizontal. The disk begins from rest from the to
Determine (i) the impedance (ii) the maximum current (iii) the phase angle and (iv) the maximum voltages across the elements.
A bicycle consists of a tire of diameter 0.6m is rotating at a rate of around 2 revolutions per second. i) Determine the angular velocity of the tire in rad/s?
Salvage value at the end of asset's life is anticipated to be $5,000. Cost of capital is 12%. Determine Net present value? Compute payback period of the investment?
The warranty on a latest tire states that an automobile can travel for a distance of 102,000 km before the tire wears out. The radius of the tire is around 0.30 m. Determine how many revolutions doe